\[{dN_1 \over dt} = r_1 N \left(1-{N_1 \over K_1} - \alpha {N_2 \over K_1}\right)\]
\[{dN_2 \over dt} = r_2 N \left(1-{N_2 \over K_2} - \beta {N_1 \over K_2}\right)\]
is the outcome of 2 density dependent phenomena:
- Intra-specific competition (\(K_1\) and \(K_2\))
- Inter-specific competition (\(\alpha\) and \(\beta\))